Question #06b72

1 Answer
ali ergin
May 22, 2017

Please ,have a look at the explanation.

Explanation:

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#"let the two endpoints of the segment AB be A(x,y) and B(8,9)."#
#"We can calculate the other end A(x,y),if The midpoint of the"# #"segment is known."#

#"we can use the formula Midpoint"=((x+8)/2,(y+9)/2)#
#"to calculate the midpoint of segment AB."#

#5=(x+8)/2#

#10=x+8#

#x=10-8#

#x=2#

#6=(y+9)/2#

#12=y+9#

#y=12-9#

#y=3#

#"We have found the unknown other end of the segment."#

#A(x,y)rArrA(2,3)#

#"answer to your question."#

enter image source here

#10=(A_x+x)/2#

#10=(-8+x)/2#
#20=-8+x#
#x=20+8#
#x=28" the x coordinate of the other endpoint"#

#7=(A_y+y)/2#

#7=(-10+y)/2#
#14=-10+y#
#y=14+10#
#y=24" the y coordinate of the other endpoint."#

#B(28,24)#

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